Asked by User408
                The inequality 7 – 2x  <  x – 8 is equivalent to 3 
A. x > 9
B. x < 9
C. x > 3/5
D. x < –3/5
            
        A. x > 9
B. x < 9
C. x > 3/5
D. x < –3/5
Answers
                    Answered by
            Bosnian
            
    If your question means:
7 - 2 / 3 x < x - 8
then
Subtract x from both sides:
7 - 2 / 3 x - x < - 8
7 - 2 / 3 x - 3 / 3 x < - 8
7 - 5 / 3 x < - 8
Subtract 7 from both sides
- 5 / 3 x < - 15
Divide both sides by 5
- 1 / 3 x < - 3
Multiply both sides by 3
- x < - 9
Multiply both sides by - 1
Multiplying or dividing both sides by a negative number reverses the inequality.
x > 9
    
7 - 2 / 3 x < x - 8
then
Subtract x from both sides:
7 - 2 / 3 x - x < - 8
7 - 2 / 3 x - 3 / 3 x < - 8
7 - 5 / 3 x < - 8
Subtract 7 from both sides
- 5 / 3 x < - 15
Divide both sides by 5
- 1 / 3 x < - 3
Multiply both sides by 3
- x < - 9
Multiply both sides by - 1
Multiplying or dividing both sides by a negative number reverses the inequality.
x > 9
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